Verdier, Jean-Louis
Algèbres de Lie, systèmes hamiltoniens, courbes algébriques
Séminaire Bourbaki, Tome 23 (1980-1981) , Exposé no. 566 , p. 85-94
Zbl 0492.58014 | MR 647490 | 3 citations dans Numdam
URL stable : http://www.numdam.org/item?id=SB_1980-1981__23__85_0

Bibliographie

[1] A. Adler - On a Trace Functional for Formal Pseudo Differential Operators and the symplectic structure of the Korteweg-De Vries Type Equations, Inventiones Math. 50(1979), 219-248. Zbl 0393.35058

[2] M. Adler and P. Van Moerbeke - Linearization of Hamiltonian systems, Jacobi Varieties and representation theory, Advances in Math., vol. 38, n°3 (1980), 267-317. MR 597729 | Zbl 0455.58017

Linearization of Hamiltonian systems, Jacobi Varieties and Representation Theory, Advances in Math., vol. 38, n° 3(1980), 318-379. MR 597730 | Zbl 0455.58010

[3] F. Calogero - Exactly Solvable One-Dimensional Many Body Problems, Letters al Nuovo Cimento, vol. 13, n° 11(1975), 411-416. MR 388895

[4] P. Van Moerbeke - The spectrum of Jacobi Matrices, Inventiones Math., 37(1976), 45-81. MR 650253 | Zbl 0361.15010

[5] D. Kazhdan, B. Kostant and S. Sternberg - Hamiltonian Group Action and Dynamical Systems of Calogero Type, Comm. in Pure and Applied Math., vol. XXXI (1978), 481-507. MR 478225 | Zbl 0368.58008

[6] B. Kostant - The solution to a Generalized Toda Lattice and Representation Theory, Adv. in Math., vol. 34, n° 3(1979), 195-338. MR 550790 | Zbl 0433.22008

[7] S. Kowalevska - Sur le problème de la rotation d'un corps solide autour d'un point fixe, Acta Math., vol. 12(1888), 177-232. JFM 21.0935.01 | Zbl 01867150

[8] M.A. Olshanetsky and A.M. Perelomov - Completely Integrable Hamiltonian Systems Connected with Semi Simple Lie Algebras, Inventiones Math., 37(1976), 93-108. MR 426053 | Zbl 0342.58017

[9] W.W. Symes - System of Toda Type, Inverse Spectral Problems, and Representation Theory, Inventiones Math., 59(1980), 13-51. MR 575079 | Zbl 0474.58009

Les lecteurs intéressés par l'oeuvre littéraire et scientifique de S. Kowalevska pourront consulter : Sofya Kowalevska : A Russian Chilhood, Springer-Verlag (1978).